Conditions for existence of a stationary relativistic compact beam torus

Abstract

Conditions of creating an absolute magnetic trap for controllable thermonuclear fusion with the help of a high-current relativistic beam of charged particles are considered. It is demonstrated that these conditions are realized for a compact beam torus (CBT) in an intrinsic electromagnetic field. On the other hand, from the virial theorem it follows that for positive beam pressure and positive energy density of the electromagnetic field, no strictly stationary state exists in the empty Minkowski flat space-time.